Positive solutions of boundary value problems for ordinary differential equations with dependence on higher order derivatives

Author(s)

Ahlam Abid, University of Dayton
Paul Eloe, University of DaytonFollow

Document Type

Article

Publication Date

2017

Publication Source

Communications on Applied Nonlinear Analysis

Abstract

In this paper, the compression contraction fixed point theorem is applied to a right focal boundary value problem for a second order ordinary differential equation to provide sufficient conditions for existence of solutions in a cone. The nonlinear term is a function of three variables and singularities are allowed. A cone is defined in the Banach space C1[0, 1] and concavity of derivatives of solutions plays a key role. A family of examples is provided in which explicit sufficient conditions are exhibited.

Inclusive pages

101-108

ISBN/ISSN

1074-133X

Document Version

Published Version

Comments

This document is made available in compliance with the publisher's policy on self-archiving or with the express permission of the publisher. Permission documentation is on file.

Volume

24

Issue

4

Peer Reviewed

yes

eCommons Citation

Abid, Ahlam and Eloe, Paul, "Positive solutions of boundary value problems for ordinary differential equations with dependence on higher order derivatives" (2017). Mathematics Faculty Publications. 129.
https://ecommons.udayton.edu/mth_fac_pub/129